The Brezis-Nirenberg problem for fractional elliptic operators
classification
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brezis-nirenbergellipticproblemassociatedboundeddefineddivergenceeffect
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In the present paper, we study the effect of an elliptic operator in divergence form L defined in a bounded open set on the existence and nonexistence of positive solutions of the associated nonlocal Brezis-Nirenberg problem involving powers of L.
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